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Finding the Third Proportional to 535,283.44 and 769,391.16

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Solution

The third proportional to 535,283.44 and 769,391.16 is: 1,105,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,283.44 : 769,391.16 = 769,391.16 : x
  2. Step 2: Convert to fraction form
    535,283.44/769,391.16 = 769,391.16/x
  3. Step 3: Cross multiply
    535,283.44x = 769,391.16 × 769,391.16
  4. Step 4: Simplify right side
    535,283.44x = 591,962,751,315.71
  5. Step 5: Solve for x
    x = 591,962,751,315.71/535,283.44
  6. Step 6: Final answer
    x = 1,105,886.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.